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91Ó°ÊÓ

Find an equation for the line containing the origin that makes an angle of 30ο with the positive x-axis.

Short Answer

Expert verified

y=13x

Step by step solution

01

The given information is

makes an angle of 30° with the positivex-axis.

02

Step 2. Using the standard equation of line i.e. y=mx+c

Since it contains origin, hence

y=mx+c0=m(0)+cc=0

equation of line is

y=mx

03

Step 3. It makes an angle 30ο hence,

m=tan30οm=13

equation of line is,

y=mxy=13x

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